Some Inequalities Related to Strong Convergence of Riesz Logarithmic Means

Published 11 Feb 2020 in math.CA | (2002.04642v1)

Abstract: In this paper we derive a new strong convergence theorem of Riesz logarithmic means of the one-dimensional Vilenkin-Fourier (Walsh-Fourier) series. The corresponding inequality is pointed out and it is also proved that the inequality is in a sense sharp, at least for the case with Walsh-Fourier series.

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